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Finding the Third Proportional to 31,162 and 68,035

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Solution

The third proportional to 31,162 and 68,035 is: 148,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,162 : 68,035 = 68,035 : x
  2. Step 2: Convert to fraction form
    31,162/68,035 = 68,035/x
  3. Step 3: Cross multiply
    31,162x = 68,035 × 68,035
  4. Step 4: Simplify right side
    31,162x = 4,628,761,225
  5. Step 5: Solve for x
    x = 4,628,761,225/31,162
  6. Step 6: Final answer
    x = 148,538.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.